Online GCD Calculator is useful to find the GCD of 344, 932, 729, 142 quickly. Get the easiest ways to solve the greatest common divisor of 344, 932, 729, 142 i.e 1 in different methods as follows.
Given Input numbers are 344, 932, 729, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (344, 932, 729, 142) = 1.
Given numbers are 344, 932, 729, 142
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 932 are 2 x 2 x 233
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 344, 932, 729, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 932) = 80152
GCD(344, 932) = ( 344 x 932 ) / 80152
= 344 / 932
= 344
Step2:
LCM(4, 729) = 2916
GCD(4, 729) = ( 4 x 729 ) / 2916
= 4 / 729
= 4
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 344, 932, 729, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 932, 729, 142
The greatest common divisor of numbers 344, 932, 729, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 932, 729, 142 is 1.
1. What is the GCD of 344, 932, 729, 142?
GCD of given numbers 344, 932, 729, 142 is 1
2. How to calculate the greatest common divisor of 344, 932, 729, 142?
We can find the highest common divisor of 344, 932, 729, 142 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 344, 932, 729, 142 i.e 1.
3. How can I use the GCD of 344, 932, 729, 142Calculator?
Out the numbers 344, 932, 729, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.